Information on Result #703745

Linear OA(3249, 279, F3, 135) (dual of [279, 30, 136]-code), using construction XX applied to C1 = C([233,121]), C2 = C([0,130]), C3 = C1 + C2 = C([0,121]), and C∩ = C1 ∩ C2 = C([233,130]) based on
  1. linear OA(3222, 242, F3, 131) (dual of [242, 20, 132]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,121}, and designed minimum distance d ≥ |I|+1 = 132 [i]
  2. linear OA(3222, 242, F3, 131) (dual of [242, 20, 132]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,130], and designed minimum distance d ≥ |I|+1 = 132 [i]
  3. linear OA(3232, 242, F3, 140) (dual of [242, 10, 141]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {−9,−8,…,130}, and designed minimum distance d ≥ |I|+1 = 141 [i]
  4. linear OA(3212, 242, F3, 122) (dual of [242, 30, 123]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,121], and designed minimum distance d ≥ |I|+1 = 123 [i]
  5. linear OA(35, 15, F3, 3) (dual of [15, 10, 4]-code or 15-cap in PG(4,3)), using
  6. linear OA(312, 22, F3, 8) (dual of [22, 10, 9]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3250, 280, F3, 135) (dual of [280, 30, 136]-code) [i]Code Embedding in Larger Space
2Linear OOA(3249, 139, F3, 2, 135) (dual of [(139, 2), 29, 136]-NRT-code) [i]OOA Folding
3Linear OOA(3249, 93, F3, 3, 135) (dual of [(93, 3), 30, 136]-NRT-code) [i]
4Linear OOA(3249, 55, F3, 5, 135) (dual of [(55, 5), 26, 136]-NRT-code) [i]